Projects: Specialized Adaptive Algorithms for Model Predictive Control of PDEs

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Efficient Model Predictive Control for parabolic PDEs with goal oriented error estimation.
In: SIAM Journal on Scientific Computing. Vol. 44 (2022) Issue 1 . - A471-A500.
DOI: https://doi.org/10.1137/20M1356324

Faulwasser, Timm ; Grüne, Lars ; Humaloja, Jukka-Pekka ; Schaller, Manuel:
The interval turnpike property for adjoints.
In: Pure and Applied Functional Analysis. Vol. 7 (2022) Issue 4 . - pp. 1187-1207.

Schaller, Manuel:
Sensitivity Analysis and Goal Oriented Error Estimation for Model Predictive Control.
Bayreuth , 2021 . - IX, 185 p.
( Doctoral thesis, 2021 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00005538

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs.
In: ESAIM : Control, Optimisation and Calculus of Variations. Vol. 27 (2021) . - 56.
DOI: https://doi.org/10.1051/cocv/2021030

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity analysis for Model Predictive Control of PDEs.
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 4 p.

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations.
In: Journal of Differential Equations. Vol. 268 (2020) Issue 12 . - pp. 7311-7341.
DOI: https://doi.org/10.1016/j.jde.2019.11.064

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control.
In: SIAM Journal on Control and Optimization. Vol. 57 (2019) Issue 4 . - pp. 2753-2774.
DOI: https://doi.org/10.1137/18M1223083

Schaller, Manuel ; Schiela, Anton ; Stöcklein, Matthias:
A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization.
Bayreuth , 2018 . - 29 p.

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity analysis of optimal control motivated by model predictive control.
In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong , 2018 . - pp. 93-96